To solve this problem, we need to use the Pythagorean Theorem, which states that a^2 + b^2 must equal c^2. "a" is the length of one of the legs (shorter sides of the triangle) and "b" is the length of the other leg. "c" is the length of the hypotenuse.
a = y = 36.25cm
b = x = 20.93cm
a^2 + b^2 = c^2
(36.25)^2 + (20.93)^2 = c^2
1314.0625 + 438.0649 = c^2
√1752.1274 = √c^2
c = 41.8584209 ≈ 41.86
So your final answer is...
The length of the hypotenuse is about 41.86 cm.
This problem is a multi step problem. All you have to do is break it down into parts to make it easier. We can start by finding the diameter of the inner circle.
1. circumference = πd (Since the circumference is given as 44, and we know to use 22/7 for π, divide 44 by 22/7 to get d.)
44 / 22/7 = about 14.0 when rounded
2. Now add +8 to the 14 since we know that there are 4 ft. on both sides of the small inner circle.
14 + 8 = 22
3) The last step gave us the diameter of the bigger outer circle. Now, we have to plug in the 22 for d in the formula for circumference to find the circumference of the outer circle.
c = πd → c = 22 * 22/7 = 484/7 (484/7 = about 69 when rounded as a decimal)
4) The last step now is to subtract the circumferences, since the problem was asking for how much greater the outer circle's circumference is than the inner circle.
69 - 44 = 25
Your answer should be about 25 ft.
********** Note the answer they are looking for may be slightly different depending on whether they were looking for a fraction or decimal answer and where they rounded. ********************************************************
Answer:
41 miles per hour
Step-by-step explanation:
This is a fraction equal to
41 miles ÷ 1 gallon
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
41 miles ÷ 1
1 gallon ÷ 1
= 41 miles per gallon
I hope this works
Answer:
Step-by-step explanation:
It's important to note that when two angles create a straight line, they are supplementary.
This means their angle measures add up to 180° since a 180° angle is a straight line.
Since we know the measures of both angles in equation form, we can add them together and have them equal 180 to solve for x.
Combine like terms:
Subtract 27 from both sides:
Divide both sides by 9:
So x = 17.
Hope this helped!
